Controlled fuzzy metric spaces and some related fixed point results

SANGURLU SEZEN M.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, cilt.37, sa.1, ss.583-593, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1002/num.22541
  • Dergi Adı: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.583-593
  • Anahtar Kelimeler: control function, controlled fuzzy metric space, fixed point, CONTRACTIVE MAPPINGS, ALPHA, THEOREMS
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we introduce a new extension in the subject of fuzzy metric, called controlled fuzzy metric space. This notion is a generalization of fuzzy b-metric space. Also, we prove a Banach-type fixed point theorem and a new fixed point theorem for some self-mappings satisfying fuzzy psi-contraction condition that is more general than existing theorems. Furthermore, we establish some examples about our main results.